What is the Least Common Multiple of 72702 and 72722?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 72702 and 72722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72702 and 72722, than apply into the LCM equation.

GCF(72702,72722) = 2
LCM(72702,72722) = ( 72702 × 72722) / 2
LCM(72702,72722) = 5287034844 / 2
LCM(72702,72722) = 2643517422

Least Common Multiple (LCM) of 72702 and 72722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72702 and 72722. First we will calculate the prime factors of 72702 and 72722.

Prime Factorization of 72702

Prime Factorization of 72722

Now multiplying the highest exponent prime factors to calculate the LCM of 72702 and 72722.

LCM(72702,72722) = 2¹ × 3² × 7¹ × 577¹ × 13¹ × 2797¹
LCM(72702,72722) = 2643517422